Three men (Greg, Larry, and Sam) went to the pet shop on different days (Monday, Wednesday, and Friday) and each bought a differ
ent breed of dog (German Shepherd, Labrador Retriever and Saint Bernard). From the clues below, which chart correctly matches the man, the day and the dog breed?
1. No man purchased a breed of dog beginning with the same letter as their first name.
2. Greg purchased the St. Bernard before Sam purchased his dog.
3. The German Shepherd was the first dog to be purchased.
1. No man purchased a breed of dog beginning with the same letter as their first name.
2. Greg purchased the St. Bernard before Sam purchased his dog.
3. The German Shepherd was the first dog to be purchased.
1 answer:
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Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒ =
+
=
+
⇒ AC = = 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm